Difference between revisions of "DSERT - 8 - Maths :: Congruency of Triangles"

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(Created page with "Go To: DSERT-Mathematics-Grade 8 =Lesson Plan= =Textbook= =Videos= =Images= =Activities= =Additional Aids= =Transliteration= =Worksheets= =Assessments= <he...")
 
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=Lesson Plan=
 
=Lesson Plan=
  
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[Contributor - Rashmi MS]
  
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[Author - Kripa S]
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Dear Volunteer,
  
  
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'''Objective:''' Explain concept of congruence and different congruency tests for triangles
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Please find below the detailed lesson plan and PPT for this chapter in the language mentioned against the respective link. While the lesson plan will give an overall flow of the lesson, the PPT will include lesson flow as well as the presentations for the class.
  
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'''Subtopics to be covered:'''
 
  
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- congruency of line segments, shapes, triangles
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'''https://drive.google.com/open?id=1szQy2MXzN2rNxfd0hyATINawF344vozS''' (lesson Plan - English)
  
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- SSS, SAS, ASA, right angled triangle congruency tests
 
  
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'''Learning Outcome:'''
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'''https://drive.google.com/open?id=12MuwXFe9BqX6FTuyjSbTRp1jwISLODAz''' (PPT - English)
  
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- Students will be able to identify if two given triangles are congruent under one of the four tests
 
  
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- They can solve problems to prove congruency of sides or angles using the tests of congruency
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You may use the content as it is or download and modify them to suit the students requirements.
 +
 
 +
 
 +
If you feel any major modifications or additions are carried out by you in the form of adding any new activity, presentations, videos etc. we request you to send the modified version to submitcontent@evidyloka.org for enabling upload the modified version.
 +
 
 +
 
 +
The worksheets of the lesson can be accessed from the worksheet tab.
 +
 
 +
 
 +
Kindly rate the lesson plan and share your suggestions and comments on the lesson plan in the comments box below. Your valuble suggestions and comments will help us to improve the content.
  
  
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http://ktbs.kar.nic.in/new/website%20textbooks/class8/8th-kannada-maths-2.pdf#page=71 (Kannada Medium)
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http://ktbs.kar.nic.in/new/website%20textbooks/class8/8th-kannada-maths-2.pdf#page=45 (Kannada Medium)
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http://ktbs.kar.nic.in/new/website%20textbooks/class8/8th-english-maths-2.pdf#page=67 (English Medium)
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http://ktbs.kar.nic.in/new/website%20textbooks/class8/8th-english-maths-2.pdf#page=41 (English Medium)
  
 
=Videos=
 
=Videos=
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[Contributor - Rashmi MS]
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Lesson Plan version 1.1 videos
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https://www.youtube.com/watch?v=86iU3fypTd4
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(Congruent figures and congruent triangles)
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https://www.youtube.com/watch?v=Ie3j2MDuuA0 (SAS - Postulate)
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https://www.youtube.com/watch?v=V2iK77V-Q_g (Theorem 1)
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https://www.youtube.com/watch?v=7PagcFtZB5g  (ASA - Postulate)
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https://www.youtube.com/watch?v=DArQTsH6Y1s (Theorem 2)
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https://www.youtube.com/watch?v=3wjLGV9ibII (SSS Postulate)
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https://www.youtube.com/watch?v=8HJ9jWmkyuU (RHS Theorem)
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https://www.youtube.com/watch?v=jnxCLjgVY8Q  (Proposition 3 - definition)
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https://www.youtube.com/watch?v=BiagrTl2y4o  (proposition 3 - Example)
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 +
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[Contributor - Rashmi MS]
 +
 +
Lesson Plan version 1.1 videos
 +
 +
 +
https://www.youtube.com/watch?v=86iU3fypTd4
 +
 +
(Congruent figures and congruent triangles)
 +
 +
https://www.youtube.com/watch?v=Ie3j2MDuuA0 (SAS - Postulate)
 +
 +
https://www.youtube.com/watch?v=V2iK77V-Q_g (Theorem 1)
 +
 +
https://www.youtube.com/watch?v=7PagcFtZB5g  (ASA - Postulate)
 +
 +
https://www.youtube.com/watch?v=DArQTsH6Y1s (Theorem 2)
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https://www.youtube.com/watch?v=3wjLGV9ibII (SSS Postulate)
 +
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https://www.youtube.com/watch?v=8HJ9jWmkyuU (RHS Theorem)
 +
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https://www.youtube.com/watch?v=jnxCLjgVY8Q  (Proposition 3 - definition)
 +
 +
https://www.youtube.com/watch?v=BiagrTl2y4o  (proposition 3 - Example)
 +
 +
 +
[Contributor - Rashmi MS]
 +
 +
Lesson Plan version 1.1 videos
 +
 +
 +
https://www.youtube.com/watch?v=86iU3fypTd4
 +
 +
(Congruent figures and congruent triangles)
 +
 +
https://www.youtube.com/watch?v=Ie3j2MDuuA0 (SAS - Postulate)
 +
 +
https://www.youtube.com/watch?v=V2iK77V-Q_g (Theorem 1)
 +
 +
https://www.youtube.com/watch?v=7PagcFtZB5g  (ASA - Postulate)
 +
 +
https://www.youtube.com/watch?v=DArQTsH6Y1s (Theorem 2)
 +
 +
https://www.youtube.com/watch?v=3wjLGV9ibII (SSS Postulate)
 +
 +
https://www.youtube.com/watch?v=8HJ9jWmkyuU (RHS Theorem)
 +
 +
https://www.youtube.com/watch?v=jnxCLjgVY8Q  (Proposition 3 - definition)
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https://www.youtube.com/watch?v=BiagrTl2y4o  (proposition 3 - Example)
  
  
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=Activities=
 
=Activities=
 +
 +
 +
[Contributor - Rashmi MS]
 +
 +
Lesson Plan version 1.1 activities
 +
 +
1. Ask students to draw congruent figures based on their understanding.
 +
 +
2. Draw an equilateral triangle on a sheet of paper. From one of the vertices, draw a perpendicular bisector to the base. Cut the sheet along the triangle and fold it along the perpendicular lines. You have two congruent right-angled triangles
 +
 +
3. Take a square sheet of paper and fold it along its diagonal. You will notice that two
 +
 +
triangles so formed by folding the
 +
 +
sheet are right angled triangles and
 +
 +
they superpose one on the other.
 +
 +
Take a rectangular sheet of paper, such that one of its side lengths is equal to the length of the square you had taken earlier and the other is different from the length of the
 +
 +
square. Draw one of its diagonals. Cut the sheet along the diagonal, to obtain two right triangles that superimpose on one another.
 +
 +
 +
 +
 +
[Contributor - Rashmi MS]
 +
 +
Lesson Plan version 1.1 activities
 +
 +
1. Ask students to draw congruent figures based on their understanding.
 +
 +
2. Draw an equilateral triangle on a sheet of paper. From one of the vertices, draw a perpendicular bisector to the base. Cut the sheet along the triangle and fold it along the perpendicular lines. You have two congruent right-angled triangles
 +
 +
3. Take a square sheet of paper and fold it along its diagonal. You will notice that two
 +
 +
triangles so formed by folding the
 +
 +
sheet are right angled triangles and
 +
 +
they superpose one on the other.
 +
 +
Take a rectangular sheet of paper, such that one of its side lengths is equal to the length of the square you had taken earlier and the other is different from the length of the
 +
 +
square. Draw one of its diagonals. Cut the sheet along the diagonal, to obtain two right triangles that superimpose on one another.
 +
 +
 +
 +
 +
[Contributor - Rashmi MS]
 +
 +
Lesson Plan version 1.1 activities
 +
 +
1. Ask students to draw congruent figures based on their understanding.
 +
 +
2. Draw an equilateral triangle on a sheet of paper. From one of the vertices, draw a perpendicular bisector to the base. Cut the sheet along the triangle and fold it along the perpendicular lines. You have two congruent right-angled triangles
 +
 +
3. Take a square sheet of paper and fold it along its diagonal. You will notice that two
 +
 +
triangles so formed by folding the
 +
 +
sheet are right angled triangles and
 +
 +
they superpose one on the other.
 +
 +
Take a rectangular sheet of paper, such that one of its side lengths is equal to the length of the square you had taken earlier and the other is different from the length of the
 +
 +
square. Draw one of its diagonals. Cut the sheet along the diagonal, to obtain two right triangles that superimpose on one another.
 +
 +
  
  
 
=Additional Aids=
 
=Additional Aids=
 +
 +
 +
[Contributor - Rashmi MS]
 +
 +
Lesson Plan version 1.1 PPT
 +
 +
https://drive.google.com/open?id=12MuwXFe9BqX6FTuyjSbTRp1jwISLODAz
 +
 +
 +
[Contributor - Rashmi MS]
 +
 +
Lesson Plan version 1.1 PPT
 +
 +
https://drive.google.com/open?id=12MuwXFe9BqX6FTuyjSbTRp1jwISLODAz
 +
 +
 +
[Contributor - Rashmi MS]
 +
 +
Lesson Plan version 1.1 PPT
 +
 +
https://drive.google.com/open?id=12MuwXFe9BqX6FTuyjSbTRp1jwISLODAz
  
  
 
=Transliteration=
 
=Transliteration=
 +
[Contributor - Navyashree Jogi]
 
{| class="wikitable"  
 
{| class="wikitable"  
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|'''''Term'''''' || ''''''Transliterated Term'''''' || ''''''Translated Term''''''
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|'''Term''' || '''Transliterated Term''' || '''Translated Term'''
 
|-
 
|-
 
|Congruency of Triangles || ಕಂಗ್ರುಎನ್ಸಿ ಒಫ್ ಟ್ರಿಆಂಗ್ಲ್ಸ್ || ತ್ರಿಬ್ಭುಜಗಳ ಸಮವರ್ತತೇ
 
|Congruency of Triangles || ಕಂಗ್ರುಎನ್ಸಿ ಒಫ್ ಟ್ರಿಆಂಗ್ಲ್ಸ್ || ತ್ರಿಬ್ಭುಜಗಳ ಸಮವರ್ತತೇ

Latest revision as of 04:13, 3 November 2018

Go To: DSERT-Mathematics-Grade 8

[edit]

[Contributor - Rashmi MS]

Dear Volunteer,


Please find below the detailed lesson plan and PPT for this chapter in the language mentioned against the respective link. While the lesson plan will give an overall flow of the lesson, the PPT will include lesson flow as well as the presentations for the class.


https://drive.google.com/open?id=1szQy2MXzN2rNxfd0hyATINawF344vozS (lesson Plan - English)


https://drive.google.com/open?id=12MuwXFe9BqX6FTuyjSbTRp1jwISLODAz (PPT - English)


You may use the content as it is or download and modify them to suit the students requirements.


If you feel any major modifications or additions are carried out by you in the form of adding any new activity, presentations, videos etc. we request you to send the modified version to submitcontent@evidyloka.org for enabling upload the modified version.


The worksheets of the lesson can be accessed from the worksheet tab.


Kindly rate the lesson plan and share your suggestions and comments on the lesson plan in the comments box below. Your valuble suggestions and comments will help us to improve the content.


[Contributor - Rashmi MS]

Lesson Plan version 1.1 videos


https://www.youtube.com/watch?v=86iU3fypTd4 

(Congruent figures and congruent triangles)

https://www.youtube.com/watch?v=Ie3j2MDuuA0 (SAS - Postulate)

https://www.youtube.com/watch?v=V2iK77V-Q_g (Theorem 1)

https://www.youtube.com/watch?v=7PagcFtZB5g (ASA - Postulate)

https://www.youtube.com/watch?v=DArQTsH6Y1s (Theorem 2)

https://www.youtube.com/watch?v=3wjLGV9ibII (SSS Postulate)

https://www.youtube.com/watch?v=8HJ9jWmkyuU (RHS Theorem)

https://www.youtube.com/watch?v=jnxCLjgVY8Q (Proposition 3 - definition)

https://www.youtube.com/watch?v=BiagrTl2y4o (proposition 3 - Example)


[Contributor - Rashmi MS]

Lesson Plan version 1.1 videos


https://www.youtube.com/watch?v=86iU3fypTd4 

(Congruent figures and congruent triangles)

https://www.youtube.com/watch?v=Ie3j2MDuuA0 (SAS - Postulate)

https://www.youtube.com/watch?v=V2iK77V-Q_g (Theorem 1)

https://www.youtube.com/watch?v=7PagcFtZB5g (ASA - Postulate)

https://www.youtube.com/watch?v=DArQTsH6Y1s (Theorem 2)

https://www.youtube.com/watch?v=3wjLGV9ibII (SSS Postulate)

https://www.youtube.com/watch?v=8HJ9jWmkyuU (RHS Theorem)

https://www.youtube.com/watch?v=jnxCLjgVY8Q (Proposition 3 - definition)

https://www.youtube.com/watch?v=BiagrTl2y4o (proposition 3 - Example)


[Contributor - Rashmi MS]

Lesson Plan version 1.1 videos


https://www.youtube.com/watch?v=86iU3fypTd4 

(Congruent figures and congruent triangles)

https://www.youtube.com/watch?v=Ie3j2MDuuA0 (SAS - Postulate)

https://www.youtube.com/watch?v=V2iK77V-Q_g (Theorem 1)

https://www.youtube.com/watch?v=7PagcFtZB5g (ASA - Postulate)

https://www.youtube.com/watch?v=DArQTsH6Y1s (Theorem 2)

https://www.youtube.com/watch?v=3wjLGV9ibII (SSS Postulate)

https://www.youtube.com/watch?v=8HJ9jWmkyuU (RHS Theorem)

https://www.youtube.com/watch?v=jnxCLjgVY8Q (Proposition 3 - definition)

https://www.youtube.com/watch?v=BiagrTl2y4o (proposition 3 - Example)


[Contributor - Rashmi MS]

Lesson Plan version 1.1 activities

1. Ask students to draw congruent figures based on their understanding.

2. Draw an equilateral triangle on a sheet of paper. From one of the vertices, draw a perpendicular bisector to the base. Cut the sheet along the triangle and fold it along the perpendicular lines. You have two congruent right-angled triangles

3. Take a square sheet of paper and fold it along its diagonal. You will notice that two

triangles so formed by folding the

sheet are right angled triangles and

they superpose one on the other.

Take a rectangular sheet of paper, such that one of its side lengths is equal to the length of the square you had taken earlier and the other is different from the length of the

square. Draw one of its diagonals. Cut the sheet along the diagonal, to obtain two right triangles that superimpose on one another.



[Contributor - Rashmi MS]

Lesson Plan version 1.1 activities

1. Ask students to draw congruent figures based on their understanding.

2. Draw an equilateral triangle on a sheet of paper. From one of the vertices, draw a perpendicular bisector to the base. Cut the sheet along the triangle and fold it along the perpendicular lines. You have two congruent right-angled triangles

3. Take a square sheet of paper and fold it along its diagonal. You will notice that two

triangles so formed by folding the

sheet are right angled triangles and

they superpose one on the other.

Take a rectangular sheet of paper, such that one of its side lengths is equal to the length of the square you had taken earlier and the other is different from the length of the

square. Draw one of its diagonals. Cut the sheet along the diagonal, to obtain two right triangles that superimpose on one another.



[Contributor - Rashmi MS]

Lesson Plan version 1.1 activities

1. Ask students to draw congruent figures based on their understanding.

2. Draw an equilateral triangle on a sheet of paper. From one of the vertices, draw a perpendicular bisector to the base. Cut the sheet along the triangle and fold it along the perpendicular lines. You have two congruent right-angled triangles

3. Take a square sheet of paper and fold it along its diagonal. You will notice that two

triangles so formed by folding the

sheet are right angled triangles and

they superpose one on the other.

Take a rectangular sheet of paper, such that one of its side lengths is equal to the length of the square you had taken earlier and the other is different from the length of the

square. Draw one of its diagonals. Cut the sheet along the diagonal, to obtain two right triangles that superimpose on one another.



[Contributor - Rashmi MS]

Lesson Plan version 1.1 PPT

https://drive.google.com/open?id=12MuwXFe9BqX6FTuyjSbTRp1jwISLODAz


[Contributor - Rashmi MS]

Lesson Plan version 1.1 PPT

https://drive.google.com/open?id=12MuwXFe9BqX6FTuyjSbTRp1jwISLODAz


[Contributor - Rashmi MS]

Lesson Plan version 1.1 PPT

https://drive.google.com/open?id=12MuwXFe9BqX6FTuyjSbTRp1jwISLODAz


[Contributor - Navyashree Jogi]

Term Transliterated Term Translated Term
Congruency of Triangles ಕಂಗ್ರುಎನ್ಸಿ ಒಫ್ ಟ್ರಿಆಂಗ್ಲ್ಸ್ ತ್ರಿಬ್ಭುಜಗಳ ಸಮವರ್ತತೇ
Theorem ಥಿಯರಮ್ ಪ್ರಮೇಯ
Geometrical ಜಾಮೆಟ್ರಿಕಲ್ ಜ್ಯಾಮಿತಿಯ
Parameters ಪರಾಮೀಟರ್ಸ್ ನಿಯತಾಂಕಗಳು
Angles ಅಂಗಲ್ಸ್ ಕೋನ
Sides ಸೈಡ್ಸ್ ಬಾಹು
Vertices ವೇರ್ಟ್ರಿಕ್ಸ್ ಶೃಂಗ
Postulate ಪೋಸ್ಟುಲೇಟ್ ಸಿದ್ಧಾಂತ
Consequences ಕಾಂಸೆಕ್ಯುನ್ಸ್ಸ್ ಉತ್ತರೋಕ್ತಿಗಳು
Corollary ಕಾರೊಲ್ಲರಿ ಉಪ ಪ್ರಮೇಯ
Isosceles ಇಸೊಸ್ಸಿಎಲ್ಸ್ ಸಮದ್ವಿಬಾಹು
Right angle ರೈಟ್ ಆಂಗಲ್ ಲಂಬ ಕೋನ
Hypotenuse ಹೈಪೋಟೆನ್ಸ್ಸ್ ವಿಕರ್ಣ
0.00
(0 votes)


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